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UPSC Combined Geo-Scientist

Chemist

  • 2 objective papers
  • 120 questions each
  • 2 h per paper
  • 100 + 300 marks

Prelims Paper II covers chemistry.

UPSC Combined Geo-Scientist, Prelims · 2026 · Paper II, Chemistry · Q42 of 120

Geo-Scientist Prelims 2026 Chemistry Q42: The root mean square velocity of one mole of a monoatomic gas…

QuestionGaseous state / kinetic theory

The root mean square velocity of one mole of a monoatomic gas having molar mass M is u_rms. Which one of the following correctly represents the relation between the average kinetic energy of the gas (E) and u_rms ?

  1. (a) \(u_{rms}=\sqrt{\frac{3E}{2M}}\)
  2. (b) \(u_{rms}=\sqrt{\frac{2E}{M}}\)
  3. (c) \(u_{rms}=\sqrt{\frac{E}{2M}}\)
  4. (d) \(u_{rms}=\sqrt{\frac{E}{3M}}\)

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